Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale Transitions

Symmetry

Laura Gabriela Gavril¹  Decebal Vasincu²  Maricel Agop³  Lucian Eva⁴  Dan Dimitriu⁵  Andrei Zala⁶  Stefan Andrei Irimiciuc⁷  Loredana Maria Himiniuc⁸  Bogdan Florin Toma⁸ 

[1] Anesthesia and Intensive Care Unit, Regional Institute of Oncology, 700115 Iasi, Romania;Biophysics and Medical Physics Department, Faculty of Medicine, “Grigore T. Popa” University of Medicine and Pharmacy, 16 University Str., 700115 Iasi, Romania;Department of Physics, “Gh. Asachi” Technical University of Iasi, 700050 Iasi, Romania;Emergency Hospital “Professor Doctor Nicolae Oblu”, 700309 Iasi, Romania;Faculty of Physics, Alexandru Ioan Cuza University, 700506 Iasi, Romania;Municipal Emergency Hospital Moineşti, 1 Zorilor Street, 605400 Moinești, Romania;National Institute for Laser, Plasma and Radiation Physics, 409 Atomistilor Street, 077125 Bucharest, Romania;Obstetrics and Gynecology Department, Faculty of Medicine, “Gr. T. Popa” University of Medicine and Pharmacy, 700115 Iași, Romania;

关键词: brain activity;    epilepsy;    epileptic seizure;    electroencephalogram;    fractal model;    signal;   

DOI  :  10.3390/sym13061024

来源: DOAJ

【 摘 要 】

Two different operational procedures are proposed for evaluating and predicting the onset of epileptic and eclamptic seizures. The first procedure analyzes the electrical activity of the brain (EEG signals) using nonlinear dynamic methods (the time variations of the standard deviation, the variance, the skewness and the kurtosis; the evolution in time of the spatial–temporal entropy; the variations of the Lyapunov coefficients, etc.). The second operational procedure reconstructs any type of EEG signal through harmonic mappings from the usual space to the hyperbolic one using the time homographic invariance of a multifractal-type Schrödinger equation in the framework of the scale relativity theory (i.e., in a multifractal paradigm of motions). More precisely, the explicit differential descriptions of the brain activity in the form of 2 × 2 matrices with real elements disclose, through the in-phase coherences at various scale resolutions (i.e., as scale transitions), the multitude of brain neuronal dynamics, especially sequences of epileptic and eclamptic seizures. These two operational procedures are not mutually exclusive, but rather become complementary, offering valuable information concerning epileptic and eclamptic seizures. In such context, the prediction of epileptic and eclamptic seizures becomes fundamental for patients not responding to medical treatment and also presenting an increased rate of seizure recurrence.

【 授权许可】

Unknown